GCD of 21, 84, 48 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 21, 84, 48 i.e. 3 largest integer that divides all the numbers equally.
GCD of 21, 84, 48 is 3
GCD(21, 84, 48) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 84, 48 is 3
GCD(21, 84, 48) = 3
GCDof 21,84,48 is 3
Given Input numbers are 21, 84, 48
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greatest Common Divisior
We found the divisors of 21, 84, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 84, 48 is 3.
Therefore, GCD of numbers 21, 84, 48 is 3
Given Input Data is 21, 84, 48
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 21, 84, 48 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 84) = 84
GCD(21, 84) = ( 21 x 84 ) / 84
GCD(21, 84) = 1764 / 84
GCD(21, 84) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 48) = 336
GCD(21, 48) = ( 21 x 48 ) / 336
GCD(21, 48) = 1008 / 336
GCD(21, 48) = 3
GCD of 21, 84, 48 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 21, 84, 48
1. What is the GCD of 21, 84, 48?
GCD of 21, 84, 48 is 3
2. Where do I get the detailed procedure to find GCD of 21, 84, 48?
You can find a detailed procedure to find GCD of 21, 84, 48 on our page.
3. How to find GCD of 21, 84, 48 on a calculator?
You can find the GCD of 21, 84, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.